768132000
768,132,000 is an even composite number composed of five prime numbers multiplied together.
768132000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 768132000:
25 × 32 × 53 × 19 × 1123
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 19 × 1123)See below for interesting mathematical facts about the number 768132000 from the Numbermatics database.
Names of 768132000
- Cardinal: 768132000 can be written as Seven hundred sixty-eight million, one hundred thirty-two thousand.
Scientific notation
- Scientific notation: 7.68132 × 108
Factors of 768132000
Divisors of 768132000
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 45 48 50 57 60 72 75 76 80 90 95 96 100 114 120 125 144 150 152 160 171 180 190 200 225 228 240 250 285 288 300 304 342 360 375 380 400 450 456 475 480 500 570 600 608 684 720 750 760 800 855 900 912 950 1000 1123 1125 1140 1200 1368 1425 1440 1500 1520 1710 1800 1824 1900 2000 2246 2250 2280 2375 2400 2736 2850 3000 3040 3369 3420 3600 3800 4000 4275 4492 4500 4560 4750 5472 5615 5700 6000 6738 6840 7125 7200 7600 8550 8984 9000 9120 9500 10107 11230 11400 12000 13476 13680 14250 15200 16845 17100 17968 18000 19000 20214 21337 21375 22460 22800 26952 27360 28075 28500 33690 34200 35936 36000 38000 40428 42674 42750 44920 45600 50535 53904 56150 57000 64011 67380 68400 76000 80856 84225 85348 85500 89840 101070 106685 107808 112300 114000 128022 134760 136800 140375 161712 168450 170696 171000 179680 192033 202140 213370 224600 228000 252675 256044 269520 280750 320055 323424 336900 341392 342000 384066 404280 421125 426740 449200 505350 512088 533425 539040 561500 640110 673800 682784 684000 768132 808560 842250 853480 898400 960165 1010700 1024176 1066850 1123000 1263375 1280220 1347600 1536264 1600275 1617120 1684500 1706960 1920330 2021400 2048352 2133700 2246000 2526750 2560440 2667125 2695200 3072528 3200550 3369000 3413920 3840660 4042800 4267400 4492000 4800825 5053500 5120880 5334250 6145056 6401100 6738000 7681320 8001375 8085600 8534800 9601650 10107000 10241760 10668500 12802200 13476000 15362640 16002750 17069600 19203300 20214000 21337000 24004125 25604400 30725280 32005500 38406600 40428000 42674000 48008250 51208800 64011000 76813200 85348000 96016500 128022000 153626400 192033000 256044000 384066000 768132000
- Sum of all divisors σ(n): 2872134720
- Sum of proper divisors (its aliquot sum) s(n): 2104002720
- 768132000 is an abundant number, because the sum of its proper divisors (2104002720) is greater than itself. Its abundance is 1335870720
Bases of 768132000
- Binary: 1011011100100011000011101000002
- Hexadecimal: 0x2DC8C3A0
- Base-36: CPBQG0
Squares and roots of 768132000
- 768132000 squared (7681320002) is 590026769424000000
- 768132000 cubed (7681320003) is 453218442451195968000000000
-
The
square root of 768132000 is 27715.1943886381 -
The
cube root of 768132000 is 915.8238571063
Scales and comparisons
How big is 768132000?- 768,132,000 seconds is equal to 24 years, 22 weeks, 10 hours.
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To count from 1 to 768,132,000 would take you about thirty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 768132000 cubic inches would be around 76.3 feet tall.
Recreational maths with 768132000
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